Illustrative example of how quark-hadron duality might work

We discuss the issue of the local quark-hadron duality at high energies in two- and four-dimensional QCD. A mechanism of the dynamical realization of the quark-hadron duality in two-dimensional QCD in the limit of a large number of colors, $N_c\to \infty$ (the ’t Hooft model), is considered. A similar mechanism of dynamical smearing may be relevant in four-dimensional QCD. Although particular details of our results are model dependent, the general features of the duality implementation conjectured previously get further support.